Let R be the reduction from 3-SAT to INDEPENDENT-SET as discussed in class. **Exercise:** (2) Draw the graph that \( R \) builds for the 3-CNF formula \( (A \lor B \lor C) \land (B \lor C \lor D) \).**Instructions:** Compare your graph with the following answer and verify its correctness:**Graphs:**1. **First Graph:** - **Nodes:** A, B, C - **Connections:** - A is connected to B - A is connected to C - B is connected to C - This forms a triangle between the nodes A, B, and C.2. **Second Graph:** - **Nodes:** B, C, D - **Connections:** - B is connected to C - B is connected to D - C is connected to D - This forms a triangle between the nodes B, C, and D.**Verification Options:** - Yes, the provided answer is correct.- No, the provided answer is incorrect.

Create a set of 3 vertices for each clause where each vertex represents a literal of the clause.…

Answered: (2) Draw the graph that R builds for…

(2) Draw the graph that R builds for 3-CNF formula (AV BVC) A (BVC V D). Compare your graph with the following answer and verify its correctness: B A C C B D

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Q: Consider the set A of all strings of letters a-f of length 6. A few elements of this set are dcebac,…

A: Set A itself:Cardinality: The cardinality of set A is determined by the number of possible strings…

Q: A = {red, blue, green}, B = {red, red, green, purple}, C = {red, {green}, red, {red, green}, purple,…

Q: Let the Universal set be {a,b,c,d,e,f,g,h,i,j] Consider the subsets A = {a,d,h,i} B= {b,c,d.,f,i,j}…

A: Introduction: While sets of union is the type of set operations between the two sets, the obtained…

Q: For each of the following sets, tell if it an infinlte SUl, Empty 1. (x ER : 7 7}

A: As per company guidelines we are suppose to answer only first 3 subparts of the question. Kindly…

Q: S is a set of strings over the alphabet {a, b}* recursively defined as: Base case: λ ∈ S, a ∈ S, b…

A: Base case: λ ∈ S, a ∈ S, b ∈ S Recursive rules: If x ∈ S, then Rule 1: axb ∈ S Rule 2: bxa ∈ S

Q: 1. Is the following set of connectives functionally complete? Explain. {→, 1}

A: Given: The truth function are {0,1} {→,⊥}

Q: Let xHead, yHead and zHead be the head pointers of 3 linked lists of integers (called X-list, Y-list…

A: All the code already you have. I have implemented only merging the two list in third list so copy…

Q: Define and/or explain the difference between a Function Theoretic Operation and Set Theoretic…

A: Set Theory Set theory is the branch of mathematics that deals with the formal properties and…

Q: Every group G = {A, B, C, ... } obeys the same set of rules. We didn’t really make use of one of…

A: Dear Student, In group theory the rules which we use as well as discuss are given below. 1) G must…

Q: Lists – Lists can be encoded in the lambda calculus. A way to do this, is by defining a lambda term…

A: From the above information we have to consider ascons is a lambda term representing list…

Q: Using set builder notation and logical equivalence to prove (ANB)U(ANB) = A

A: To prove (A∩ B)∪(A∩ B')=A, we need to show that any element x in the left-hand side is also in the…

Q: Problem 5 Simplify the following CFG using the three simplification techniques introduced in our…

A: Simplify the CFG using three simplification technique

Q: Maps as Ordered Pairs Consider the following set of ordered pairs of the elements of a set A = {1,2,…

Q: (k) L= {w: na (w) ≤n₂ (w)}. Construct npda that accepts the following language on

A: Given language is, L= {w : na(w)<nb(w)} Set of input alphabets= {a, b} The language accepts the…

Q: Let L be a strict subset of LAc (i.e. L c LACC). Then L is ( always / sometimes / never ) decidable.

A: Defined the given statement always, sometimes or never

Q: Design a function that consumes a natural number and produces a list of strings describing that many…

A: Algorithm: seatsInput: n (a natural number)Output: List of strings describing seats at a table1.…

Q: Suppose that the set A is defined like this: A = { a | real(a) ∧ 0 ≤ a ≤ 1 } So A is the infinite…

A: Answer is given below

Q: Algorithm for Testing semiregularity Input : a set S of generators of a nontransitive group G acting…

A: iven data Input : a set S of generators of a nontransitive group G acting on f~;Output : whether G…

Q: Write up what the properties of sets, lists, vectors and strings are and whether they are mutable or…

A: Write up what the properties of sets, lists, vectors and strings are and whether they aremutable or…

Q: Use a closure operation to reduce the language L of all even-lengthed strings of as and bs where…

Q: The correct statements are: 3-SAT is polynomially reducible to the INDEPENDENT SET language. 3-SAT…

A: In step 2, I have provided complete answer to the question...

Q: The correct statements are: 3-SAT is polynomially reducible to the INDEPENDENT SET language. 3-SAT…

A: In computational complexity theory, the Boolean satisfiability problem (SAT) is known by its special…

Q: L= { am bn | m < n} This language is/isn't Regular? Prove it using with Pumping Lemma.

A: L=am bn | m<n is not regular. Let us assume to the contrary that Language L is regular.

Q: Write your own example of a set P containing 5 ordered pairs (x, y) such that P is not a function.

A: The question is example of a set P containing 5 ordered pairs (x, y) such that P is not a…

Q: Consider the function f= {(n,n² –1) such that n<5,n€N}, written in set-builder notation, which…

A: consider the function f={(n,n^2-1) such that n<5,n€N}. written in set builder notation,which…

Q: For each of the following languages LS {a, b}*, show that the elements of the infinite set {a"|n 2…

A: Shown that the given language are pairwise distinguishable

Question

Let R be the reduction from 3-SAT to INDEPENDENT-SET as discussed in class.

**Exercise:**
(2) Draw the graph that \( R \) builds for the 3-CNF formula \( (A \lor B \lor C) \land (B \lor C \lor D) \).

**Instructions:**
Compare your graph with the following answer and verify its correctness:

**Graphs:**

1. **First Graph:**
- **Nodes:** A, B, C
- **Connections:**
- A is connected to B
- A is connected to C
- B is connected to C
- This forms a triangle between the nodes A, B, and C.

2. **Second Graph:**
- **Nodes:** B, C, D
- **Connections:**
- B is connected to C
- B is connected to D
- C is connected to D
- This forms a triangle between the nodes B, C, and D.

**Verification Options:**
- Yes, the provided answer is correct.
- No, the provided answer is incorrect.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Some Overviews

VIEW

Step 2: Details Explanation

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

Given the definition in Haskell: fmap :: (a -> b) -> [a] -> [b] fmap g xs = reverse (map g xs) With Functor law: (fmap g . fmap h) xs = fmap (g . h) xs Using list xs :: [Int], prove the definition does not satisfy the law:
a. Is 3 ∈ {1, 2, 3}? b. Is 1 ⊆ {1}? c. Is {2} ∈ {1, 2}?
5. Find a closed form representation for the function defined recursively by f(0) = 5 and f(n+1)=2f(n)+4". Prove that your representation is correct using an inductive argument.
1
The class I'm taking is computer science discrete structures. I am completely stuck. Please help! If you can please add an explanation with answer so I can better understand . Thank you!
Please answer the below all questions...
If F is a function and dom(F) is a set, then F is a set.Hint. Prove first that ran(F) is a set
Determine if the following functions are homomorphisms / embeddings / isomorphisms. You must only answer: "not a homomorphism", "homomorphism buffnot an embedding", "embedding but not an isomorphism", "isomorphism". If not specified, the interpretations of the symbols in the signatures are the standard ones. a. n ↦ -n from (ℤ, 0, +) to (ℤ, 0, +). b. n ↦ n from (ℕ+, ≤) to A := (ℕ+, ≤A), where ≤A is the divisibility relation, i.e. n ≤A m exactly when n divides m. c. n ↦ n from A := (ℕ+, ≤A) to (ℕ+, ≤), where ≤A is the divisibility relation, i.e. n ≤A m exactly when n divides m.